What is the Greatest Common Factor of 80873 and 80886?

Greatest common factor (GCF) of 80873 and 80886 is 13.

GCF(80873,80886) = 13

We will now calculate the prime factors of 80873 and 80886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80873 and 80886.

How to find the GCF of 80873 and 80886?

We will first find the prime factorization of 80873 and 80886. After we will calculate the factors of 80873 and 80886 and find the biggest common factor number .

Step-1: Prime Factorization of 80873

Prime factors of 80873 are 13, 6221. Prime factorization of 80873 in exponential form is:

80873 = 13¹ × 6221¹

Step-2: Prime Factorization of 80886

Prime factors of 80886 are 2, 3, 13, 17, 61. Prime factorization of 80886 in exponential form is:

80886 = 2¹ × 3¹ × 13¹ × 17¹ × 61¹

Step-3: Factors of 80873

List of positive integer factors of 80873 that divides 80873 without a remainder.

1, 13, 6221

Step-4: Factors of 80886

List of positive integer factors of 80886 that divides 80873 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 61, 78, 102, 122, 183, 221, 366, 442, 663, 793, 1037, 1326, 1586, 2074, 2379, 3111, 4758, 6222, 13481, 26962, 40443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80873 and 80886. The biggest common factor number is the GCF number.
So the greatest common factor 80873 and 80886 is 13.

Also check out the Least Common Multiple of 80873 and 80886